Yes. By checking in with your Blobble on a daily base, you can provide it with free feeds of Food, Drink and Love. These free feeds do require a negligible amount of ICX to cover ICON blockchain transaction fees. There is no in-game charge for these feeds.
No. The initial purchase of a Blobble is required to gain entry into the Blobble world of game play. Blobbles can be purchased in the Playground, the Orphanage and the Market at varying rates.